Complete the square to solve the equation below.x2 - 10x - 2 = 17A.x = 5 + 5555​ ; x = 5 - 5555​ B.x = 5 + 4444​ ; x = 5 - 4444​ C.x = 6 + 3030​ ; x = 6 - 3030​ D.x = 5 + 2929​ ; x = 5 - 2929​ SUBMITarrow_backPREVIOUS

To solve the equation by completing the square, follow these steps:

1. First, we need to rewrite the equation in the form of (x - h)² = k. To do this, we need to move the constant term to the right side of the equation. So, we get x² - 10x = 17 + 2, which simplifies to x² - 10x = 19.

2. Next, we need to complete the square on the left side of the equation. We do this by adding the square of half the coefficient of x to both sides of the equation. Half of -10 is -5, and (-5)² = 25. So, we get (x² - 10x + 25) = 19 + 25, which simplifies to (x - 5)² = 44.

3. Now, we can solve for x by taking the square root of both sides of the equation. We get x - 5 = ±√44.

4. Finally, we solve for x by adding 5 to both sides of the equation. We get x = 5 ± √44.

So, the solutions to the equation are x = 5 + √44 and x = 5 - √44. Therefore, the correct answer is B. x = 5 + √44 ; x = 5 - √44.